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3 years ago

The distance between two towns is 7km on a map, the distance between the towns is 28cm. Find as a ratio, the scale of the map?

Mathematics

1 answer:

kirill115 [55]3 years ago

4 0

Answer:

1:4

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

28/4 = 4

1:4

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-2/3m = -12 please explain how to solve.

vichka [17]

Answer:

m = 18

Step-by-step explanation:

-2/3m = -12

multiply both sides of the equation by 3:

-2/3m(3) = -12(3)

simplify:

-2m = -36

divide both sides by -2:

-2m/-2 = -36/-2

simplify:

m = 18

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How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?

kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution is added

so, we get solution as

$=\frac{60}{100}\times x$

$=0.6x$

we are given

40 liters of a 20% alcohol solution is

$=40\times\frac{20}{100}$

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so, total alcohol solution is

$=8+0.6x$

now, we can find total solutions

total solutions is

$=x+40$

now, it is making 50% solution

so, we get

$\frac{8+0.6x}{x+40} =\frac{50}{100}$

now, we can solve for x

$\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50$

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$10x=1200$

$x=120$

So,

120 liters of 60% alcohol solution is needed

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